I recently watched a 2-hour PBS show about the 1960's, and it brought back memories of the Vietnam-era draft, along with the anti-war (actually anti-draft) protests, the rise and fall of LBJ and Richard Nixon, and so forth. I was still a bit young to appreciate those days (I entered the 6th grade in 1969 as the decade closed), and was more interested in tricking out my bicycle than what was happening in Hanoi.
Deep thought: Although the Brooklyn Dodgers became Los Angeles Dodgers, it's odd that Draft Dodgers never became Dodger Dogs.It's only a vague memory, but I recall the periodic "lotto ball" where draft numbers were called by the Selective Service System. I seemed to recall a large drum with 366 balls, one for each day of the year. If your number was called, you had a certain amount of time in which to either report to the local recruting office, or plan your extended vacation to Canada.